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Finding the Third Proportional to 3,846.38 and 9,074.81

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Solution

The third proportional to 3,846.38 and 9,074.81 is: 21,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.38 : 9,074.81 = 9,074.81 : x
  2. Step 2: Convert to fraction form
    3,846.38/9,074.81 = 9,074.81/x
  3. Step 3: Cross multiply
    3,846.38x = 9,074.81 × 9,074.81
  4. Step 4: Simplify right side
    3,846.38x = 82,352,221.91
  5. Step 5: Solve for x
    x = 82,352,221.91/3,846.38
  6. Step 6: Final answer
    x = 21,410.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.